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Splines of complex order: An Introduction.

In: Proceedings (NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2012: International Conference of Numerical Analysis and Applied Mathematics,). Melville, NY: American Institute of Physics (AIP), 2012. 991-994 (AIP Conf. Proc. ; 1479)
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We give a short introduction to complex B-splines, highlight their relations to difference operators and Dirichlet means, and introduce complex B-spline surfaces. Finally, we present the new class of splines of complex order. Complex B-splines are a natural extension of the classical Curry-Schoenberg (polynomial) B-splines [1] and the fractional splines first investigated in [2, 3]. Cardinal B-splines of complex order or, for short, complex B-splines, B z : R → C are defined in the Fourier domain by F (B z)(ω) := B z (ω) :=
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Publikationstyp Artikel: Konferenzbeitrag
Schlagwörter B-spline ; Complex B-splines ; Difference Operator ; Dirichlet Mean ; Fractional Derivative And Integral Operator ; Hermite-genocchi Formula ; Lizorkin Space ; Spline Of Complex Order
ISSN (print) / ISBN 0094-243X
e-ISSN 1551-7616
ISBN 978-0-7354-1091-6
Konferenztitel NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2012: International Conference of Numerical Analysis and Applied Mathematics,
Konferenzband Proceedings
Quellenangaben Band: 1479, Heft: 1, Seiten: 991-994 Artikelnummer: , Supplement: ,
Verlag American Institute of Physics (AIP)
Verlagsort Melville, NY
Begutachtungsstatus Peer reviewed